Great Deal! Get Instant \$10 FREE in Account on First Order + 10% Cashback on Every Order Order Now

# 1. Suppose you are planning to study five different hardwood concentrations to determine their effect on the strength of the paper produced at a pilot plant. The experiment is to be carried out over...

1. Suppose you are planning to study five different hardwood concentrations to determine their effect on the strength of the paper produced at a pilot plant. The experiment is to be carried out over five days. Uncontrollable factors affecting paper quality can vary from day to day, and the plant is limited to four production runs on each day. What experimental design would you recommend in this situation? Be specific: show how concentrations might be assigned to the 20 possible production runs over the five-day period and describe how the assignments would be randomized. Describe a desirable feature of your design.

Answered 92 days After May 19, 2022

## Solution

SOLUTION
1.
2.
3.
4.
Set up null and alternate hypotheses which is given as:
H0: All means are equal
H1: atleast two means are not equal
5.
H0: All the four groups means are equal
H1: atleast one groups is not same
Level:5%
Test Statostic:We use one way classification
Anova: Single Facto

SUMMARY

Groups
Count
Sum
Average
Variance

D1
7
26.22
3.745714
0.080662

D2
8
28.64
3.58
0.033171

D3
6
21.59
3.598333
0.009257

D4
8
31.38
3.9225
0.03885

ANOVA

Source of Variation
SS
df
MS
F
P-value
F crit
Between Groups
0.578209
3
0.192736
4.658146
0.010158
2.991241
Within Groups
1.034405
25
0.041376

Total
1.612614
28

Conclusion:
P<0.05 we reject the null hypothesis.
6.

A)

Count
Var A \ Var B
B-Category-1
B-Category-2
B-Category-3
Total
Alloy 1
2
2
2
6
Alloy 2
2
3
2
7
Alloy 3
2
2
3
7
Total
6
7
7
20
Average
Var A \ Var B
B-Category-1
B-Category-2
B-Category-3
Total
Alloy 1
23.5
16.5
16
18.6667
Alloy 2
26.5
11.6667
12
16
Alloy 3
27.5
23.5
13.3333
20.2857
Total
25.8333
16.4286
13.7143
18.3
Variance
Var A \ Var...
SOLUTION.PDF